Partial Differential Equations
Springer, 1982 - 249 páginas
This book is a very well-accepted introduction to the subject. In it, the author identifies the significant aspects of the theory and explores them with a limited amount of machinery from mathematical analysis. Now, in this fourth edition, the book has again been updated with an additional chapter on Lewy 's example of a linear equation without solutions.
Resultados 1-3 de 71
and its partial derivatives ( 1.1 ) is satisfied identically in x , y , ... in some region 2 in the space of these independent variables .
Instead we might give on y the values of u and of its normal derivative ... Similar relations are valid for the s - derivatives of Uxx , Uxy , Uyy , etc.
They cannot be given arbitrarily but have to satisfy the compatibility conditions valid on S for all functions regular near S ( instead normal derivatives ...
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